What is the Greatest Common Factor of 67444 and 67457?

Greatest common factor (GCF) of 67444 and 67457 is 13.

GCF(67444,67457) = 13

We will now calculate the prime factors of 67444 and 67457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67444 and 67457.

How to find the GCF of 67444 and 67457?

We will first find the prime factorization of 67444 and 67457. After we will calculate the factors of 67444 and 67457 and find the biggest common factor number .

Step-1: Prime Factorization of 67444

Prime factors of 67444 are 2, 13, 1297. Prime factorization of 67444 in exponential form is:

67444 = 2² × 13¹ × 1297¹

Step-2: Prime Factorization of 67457

Prime factors of 67457 are 13, 5189. Prime factorization of 67457 in exponential form is:

67457 = 13¹ × 5189¹

Step-3: Factors of 67444

List of positive integer factors of 67444 that divides 67444 without a remainder.

1, 2, 4, 13, 26, 52, 1297, 2594, 5188, 16861, 33722

Step-4: Factors of 67457

List of positive integer factors of 67457 that divides 67444 without a remainder.

1, 13, 5189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67444 and 67457. The biggest common factor number is the GCF number.
So the greatest common factor 67444 and 67457 is 13.

Also check out the Least Common Multiple of 67444 and 67457